Hi Deb,
If your husband had a definite T1, grade 3 or high grade( meaning III/III, not III/IV because IV is no longer used), many doctors these days perform a second TUR a month or so after the first one. Residual tumor would be the thing to rule out.
Was your husband offered other treatment aside from removal of the tumor? Did you see the pathology report and discuss it with the doctor?
Ta or T1 grade III bladder cancer needs a careful work up as well as close follow up, it's one of the most controversial subjects in the field of uro-oncology.
Keep asking questions, and good luck with everything.
Wendy